List of top Questions asked in Kerala Engineering Agricultural Medical Entrance Examination- 2022

Let A = {x∈Z: -1 ≤ x < 4} and let B = {x ∈ Z:0 < \(\frac{x}{2}\) ≤ 3}. Then A∩B is equal to

The number of subsets containing exactly 4 elements of the set {2, 4, 6, 8, 10, 12, 14, 16, 18) is equal to

If A is non-singular matrix and if \(A^{-1}=\frac{1}{2}\begin{bmatrix} -10&-4\\2&1\end{bmatrix}\), then adj(A)=

In a reaction 3A → Products, the concentration of A decreases from 0.4molL^-1 to 0.1molL^-1 in 20 minutes at 300K. The rate of decrease in [A] during this interval (in molL^-1min^-1) at 300K is

The value of \(\left[ \frac{5i}{(1-i)(2-i)(3-i)} \right]^{50}\)is equal to

If \(\bar a\ and\ \bar b\) are position vectors of the points (a, 3, 0) and (1, 0, 0) respectively and if the angle between the vectors \(\bar a\ and\ \bar b\ is\ \frac{\pi}{4}\), then the value of a is equal to

Which one of the following is the correct relation between C_p and C_v for one mole of an ideal gas? (R is molar gas constant)

The effective capacitance between A and B in the given figure is

Let \(f(x) =   \begin{cases}     3x+6,       & if\ x\geq c \\       x^2-3x-1,       & if\ x\lt c   \end{cases}\), where x∈R and c is a constant. The values of c for which f is continuous on R are

A man weighing 70 kg is riding on a cart of mass 30 kg which moves along a level floor at a speed of 3 ms^-1. If he runs on the cart so that his velocity relative to the cart is 4ms^-1 in the direction opposite to the motion of the cart, the speed of centre of mass of the system is

If \(\cos\theta=\frac{5}{11}\) and \(\tan\theta\lt0\), then the value of \(\sin\theta\) is equal to

There are 4 red, 3 blue and 3 yellow marbles in an urn. If three marbles are drawn simultaneously, then the probability that the number of yellow marbles will be less than 2 is equal to

Given below are the velocity-time graph of five particles, A, B, C, D and E. The correct graph from the following v-t plot in which the velocity if the particle is a function of t² is

The range of the function f(x) = 2sin(3x) +1 is equal to

The three colours in a carbon resistor are red, black and orange. If the fourth colour is absent, then the value of tolerance of the resistor is

Let A = {1,2,3,4,5} and let B={1,2,3,4}. If the relation R : A → B is given by (a, b) ∈ R if and only if a+b is even, then n(R) is equal to

If the potential at A is greater than the potential at B, then the equivalent resistance of the circuit across AB is

The period of the function \(g(x)=5\cot(\frac{\pi}{3}x+\frac{\pi}{6})+2\) is equal to

The strength of earth's magnetic field at a point is 0.4×10^-5 T. If this field is to be annulled by the magnetic induction produced at the centre of a circular conducting loop of radius π cm, the current to be sent through the loop is

A tuning fork produces 4 beats per second with both 26.0 cm and 25.2 cm of stretched sonometer wire. Frequency of the fork is

In projectile motion, the physical quantity that remains invariant throughout is

If \(z^4=7-5i\), then \(\text{Im}((\bar{z})^4)\) is equal to

\(\displaystyle\lim_{x\rightarrow-2}\frac{3x^2+ax-2}{x^2-x-6}\) is a finite number, then the value of a is equal to

A di-negative ion of the element X consists of 10 electrons and 8 neutrons. A dipositive ion of the element Y consists of 12 protons. The number of neutrons in Y is 1.5 times the number of electrons in atom X. Then the mass numbers of X and Y would be in the ratio

A fast moving particle of mass 6.63×10^-28g can be located with an accuracy of 1A. The uncertainty in its velocity (in ms^-1) is about (h=6.63×10^-34 Js)